Background of the Invention
[0001] This invention relates to methods utilizing nuclear magnetic resonance (NMR) techniques
for studying an object. In particular, this invention relates to two- and three-dimensional
rapid MMR data acquisition schemes, useful in but not limited to NMR imaging.
[0002] By way of background, the nuclear magnetic resonance phenomenon occurs in atomic
nuclei having an odd number of protons and/or neutrons. Due to the spin of the protons
and the neutrons, each such nucleus exhibits a magnetic moment, such that, when a
sample composed of such nuclei is placed in a static, homogeneous magnetic field,
B , a greater number of nuclear magnetic moments align with the field to produce a
net macroscopic magnetization M in the direction of the field. Under the influence
of magnetic field B
o, the magnetic moments precess about the field axis at a frequency which is dependent
on the strength of the applied magnetic field and on the characteristics of the nuclei.
The angular precession frequency, ω, also referred to as the Larmor frequency, is
given by the equation ω = γB, in which Y is the gyromagnetic ratio which is constant
for each NMR isotope and wherein B is the magnetic field (including B
o) acting upon the nuclear spins. It will be thus apparent that the resonant frequency
is dependent on the strength of the magnetic field in which the sample is positioned.
[0003] The orientation of magnetization M, normally directed along the magnetic field B
, may be perturbed by the application of magnetic fields oscillating at the Larmor
frequency. Typically, such magnetic fields designated B
1 are applied orthogonally to the direction of the static magnetic field by means of
a radio frequency (RF) pulse through coils connected to a radio-frequency- transmitting
apparatus. The effect of field B
1 is to rotate magnetization M about the direction of the B
1 field. This may be best visualized if the motion of magnetization M due to the application
of RF pulses is considered in a Cartesian coordinate system which rotates (rotating
frame) at a frequency substantially equal to the resonant frequency ω about the main
magnetic field B
o in the same direction in which the magnetization M processes. In this case, the B
0 field is chosen to be directed in the positive direction of the Z-axis, which, in
the rotating frame, is designated Z' to distinguish it from the fixed-coordinate system.
Similarly, the X- and Y-axes are designated X' and Y'. Bearing this in mind, the effect
of an RF pulse, then, is to rotate magnetization M, for example, from its direction
along the positive Z' axis toward the transverse plane defined by the X' and Y' axes.
An RF pulse having either sufficient magnitude or duration to rotate (flip) magnetization
M into the transverse plane (i.e., 90° from the direction of the B field) is conveniently
referred to as a 90° RF pulse. Similarly (in the case of a rectangular pulse), if
either the magnitude or the duration of an RF pulse is selected to be twice that of
a 90° pulse, magnetization M will change direction from the positive Z' axis to the
negative Z' axis. This kind of an RF pulse is referred to as a 180° RF pulse, or for
obvious reasons, as an inverting pulse. It should be noted that a 90° or a 180° RF
pulse (provided it is applied orthogonal to M) will rotate magnetization M through
the corresponding nunber of degrees from any initial direction of magnetization M.
It should be further noted that an NMR signal will only be observed if magnetization
M has a net transverse component (perpendicular to B
o) in the X'-Y' (transverse) plane. A 90° RF pulse produces maximum net transverse
magnetization in the transverse plane since all of magnetization M is in that plane,
while a 180° RF pulse does not produce any transverse magnetization.
[0004] RF pulses may be selective or nonselective. Selective pulses are typically modulated
to have a predetermined frequency content so as to excite nuclear spins situated in
preselected regions of the sample having magnetic-field strengths as predicted by
the Larmor equation. The selective pulses are applied in the presence of localizing
magnetic-field gradients. Nonselective pulses generally affect all of the nuclear
spins situated within the field of the RF pulse transmitter coil and are typically
applied in the absence of localizing magnetic-field gradients.
[0005] There are two exponential time constants associated with longitudinal and transverse
magnetizations. The time constants characterize the rate of return to equilibrium
of these magnetization components following the application of perturbing RF pulses.
The first time constant is referred to as the spin-lattice relaxation time (T
1) and is the constant for the longitudinal magnetization to return to its equilibrium
value. For biological tissue, T
1 values range between 200 milliseconds and 1 second. A typical value is about 400
milliseconds. Spin-spin relaxation time (T
2) is the constant for the transverse magnetization to return to its equilibrium value
in a perfectly homogeneous field B
o. T
2 is always less than T
1 and in biological tissue, the range is between about 50 to 150 milliseconds. In fields
having inhomogeneities, the time constant for transverse magnetization is governed
by a constant denoted T
2*, with T
Z* being less than T
2.
[0006] There remains to be considered the use of magnetic-field gradients to encode spatial
information (used to reconstruct images, for example) into NMR signals. Typically,
three such gradients are necessary:


and

[0007] The G
x, G
y, and G
z gradients are constant throughout the imaging slice, but their magnitudes are typically
time dependent. The magnetic fields associated with the gradients are denoted, respectively,
b
x, b
y, and b
2, wherein



within the volume.
[0008] In the past, the NMR phenomenon has been utilized by structural chemists to study
in vitro the molecular structure of organic molecules. More recently, NMR has been
developed into an imaging modality utilized to obtain images of anatomical features
of live human subjects, for example. Such images depicting nuclear-spin distribution
(typically protons associated with water in tissue), spin lattice (T
1), and/or spin-spin (T
2) relaxation constants are believed to be of medical diagnostic value in determining
the state of health of tissue in the region examined. Imaging data for reconstructing
NMR images is collected by subjecting the sample to pulse sequences comprised of magnetic-field
gradients and RF pulses. A drawback associated with some data acquisition schemes
is the prohibitively long scan time needed to acquire the necessary data. Efforts
to reduce the total acquisition time by lowering the repetition time (T
r) between pulse sequences is limited by the finite relaxation times which, in biological
tissues, typically range fran 200-600 millisec. Stated differently, the nuclear spins
are progressively saturated as the repetition time is shortened. Saturation is a non-equilibrium
state in which equal numbers of nuclear spins are aligned against and with magnetic
field B
o, so that there is no net magnetization M. Thus, it will be recognized that under
conditions of saturation, nuclear spins cannot be excited to produce an NMR signal.
It is, therefore, a principal object of the present invention to provide an NMR data
acquisition scheme which is capable of rapidly collecting the data necessary for reconstructing
NMR images, for example.
Summary of the Invention
[0009] In accordance with the invention, an NMR method is provided for shortening the total
tMR data acquisition time. The sample is positioned in a homogeneous magnetic field
so as to create, in at least a portion thereof, a longitudinal magnetization directed
along the field. An RF pulse is then used to irradiate the sample to convert a fraction,
but not all, of the longitudinal magnetization to transverse magnetization. The direction
of dephasing of the transverse magnetization is reversed to produce a spin-echo signal
which is sampled to derive, upon analysis, the NMR data. To shorten the total data
collection time, a 180° RF pulse is applied following the data collection interval
to rapidly return to equilibrium (along the homogeneous field) any remaining inverted
longitudinal magnetization.
Brief Description of the Drawings
[0010] The features of the invention believed to be novel are set forth with particularity
in the appended claims. The invention itself, however, both as to its organization
and method of operation, together with further objects and advantages thereof, may
best be understood by reference to the following description taken in conjunction
with the accompanying drawings in which:
FIGURES la - 1d depict schematically various orientations of magnetization M corresponding
to various stages of excitation in accordance with the invention;
FIGURE 2 depicts one exemplary embodiment of the present invention as applied to a
two-dimensional Fourier transform pulse sequence conmonly referred to as the spin-warp
sequence;
FIGURE 3 is similar to FIG. 2 and depicts an exemplary application of the invention
to a three-dimensional spin-warp imaging sequence; and
FIGURE 4 illustrates as yet another exenplary embodiment of the present invention
applied to two-dimensional, multiple-angle projection reconstruction imaging technique.
Detailed Description of the Invention
[0011] Initially, it will be beneficial to the understanding of the present invention to
consider that in conventional NMR imaging schemes a 90° RF pulse is utilized to create
a transverse magnetization which produces the NMR signal as the nuclei realign themselves
with the B field. As described hereinbefore, a 90° RF pulse produces a maximum net
transverse magnetization since all of the magnetization is rotated into the transverse
plane. The resulting NMR signal has a maximum amplitude corresponding to the maximum
value of the transverse magnetization. In some NMR data acquisition schemes, such
as three-dimensional imaging in which data is collected from a larger volume to subsequently
reconstruct a series of tomographic images, a very high signal-to-noise ratio is attained.
In fact, the achieved signal-to-noise ratio exceeds that practically necessary for
constructing good quality images.
[0012] The use of 90° RF excitation pulses, however, is not compulsory. Ernst and Anderson
(Review Scientific Instruments, Vol. 37, pg. 93, 1966) have recognized in the context
of structural analytical NMR spectroscopy that pulses which rotate magnetization through
a smaller angle than 90
0 may also be utilized. They have shown that for a train of repetitive excitation pulses
the optimum rotation angle is given by

[0013] wherein T
r is the sequence repetition time, and T
1 is the spin-lattice relaxation time.
[0014] Referring now to FIG. la, it will be seen that the application of an RF magnetic
field B
1 in the positive X-axis direction will rotate magnetization M
z, pointed in the direction of the positive Z axis which is also the direction of the
B magnetic field, by an angle e to produce in the X-Y plane a transverse magnetization
component designated M
x. The magnitude of transverse magnetization M
x is given by M
zsin e , while the loss in longitudinal magnetization Δ M
2 is given by M
z(1-cos θ). Hence, for small angles θ (much less than 900), Δ M
z is much less than M
x. That is, a relatively large transverse magnetization is created at the expense of
only small loss of longitudinal magnetization.
[0015] It is further beneficial to the understanding of the invention to note that most
NMR imaging schemes rely on the collection of a spin-echo signal following the application
of a nonselective 180° RF pulse, rather than the free-induction-decay (FID) signal.
This is due to the fact that the FID signal occurs immediately upon the termination
of the RF excitation pulse at a time when magnetic-field gradients utilized in the
selective excitation process and magnetic-field gradients utilized to encode spatial
information into the NMR signal are transient (e.g., being turned off and on). Thus,
during this period, spatial information is badly distorted and the NMR signal cannot
be normally used. The effect of the nonselective 180° pulse is, however, not only
to reverse (as suggested by arrow 10, FIG. lb) the direction of spin dephasing to
produce a spin-echo signal (FIG. 1c), but the large residual magnetization, M'
Z, following the RF excitation pulse is converted (as suggested by arrow 12, FIG. lb)
to a negative magnetization, -M' , thereby establishing an undesired, non-equilibrium
state. The reason the negative longitudinal magnetization is undesired is that, prior
to reapplication of the excitation pulse in a subsequent repetition of the imaging
sequence, this magnetization must be allowed to return to equilibrium along the positive
Z-axis. This return to equilibrium takes place with a T
1 time constant and is time consuming, thereby increasing the total data collection
time.
[0016] In accordance with the invention, the total data acquisition time is reduced by the
use of excitation pulses which rotate magnetization M
z through an angle, e , less than 90°, and by the application of a second 180° nonselective
RF pulse following the occurrence of the spin-echo signal, therefore, reestablishing
positive M
z magnetization close to its equilibrium value as indicated by arrow 14 in FIG. 1d.
The use of the second 180° RF pulse to reestablish equilibrium of longitudinal magnetization
has the advantage that the transverse magnetization is not reduced by T
2 decay which is severe in biological tissues, since T
2 is much less than T
1. At the same time, the second 180° RF pulse will again reverse (arrow 16, FIG. ld)
the direction of nuclear spin dephasing so as to induce another spin-echo signal which
may or may not be sampled. It may be desirable, for example, to sample this spin-echo
signal to derive T
2 information from the region examined in a manner well known to those skilled in the
art. Alternatively, the two spin-echo signals could be averaged for the purpose of
increasing the signal-to-noise ratio.
[0017] FIGURE 2 depicts one exemplary embodiment of the invention in the context of the
n'th repetition of a two-dimensional spin-warp imaging pulse sequence. Spin-warp is
an example of a Fourier transform imaging method. The conventional pulse sequence
is described, for example, in Kaufman et al Eds "Nuclear Magnetic Resonance Imaging
in Medicine," Igahu-Shoin Publishers, 1981.
[0018] Referring now to FIG. 2, it will be seen that in interval 1, indicated along the
horizontal axis, a positive G
z gradient pulse is applied. The direction of the G
z gradient is arbitrarily selected to be in the positive Z-axis direction of the Cartesian
coordinate system and coincides with the direction of the B
o magnetic field. The B field is not shown in this or other Figures depicting pulse
sequences, since it is applied continuously during NMR experiments. Also, in interval
1, a selective RF pulse θ
x is applied in the presence of the G gradient so as to excite nuclear spins in a predetermined
region of a sample (not shown). In this embodiment, the region is selected to be a
narrow slice. The RF pulse may be modulated by a sine function (sin x/x) so as to
preferentially excite nuclear spins in an imaging slice having a substantially rectangular
profile. In the inventive pulse sequence, the degree of rotation imparted by this
excitation pulse is less than the conventional 90° RF pulse. The degree of rotation
is selected with reference to Equation 1. It will be seen with reference to FIG. la
that a small rotation (about the direction of the B
1 field produced by the RF pulse) of longitudinal magnetization M
z through angle e creates a relatively large transverse magnetization component M
x with only a comparatively small decrease (Δ M
z) in the amplitude of M. There remains a large residual longitudinal magnetization
component M' pointed along the directon of field B. 0
[0019] When the positive G
z gradient is turned off at the end of interval 1, the excited spins process at the
same frequency but are out of phase with one another due to the dephasing effect of
the gradient. The nuclear spins are rephased by the application in interval 2 of a
negative G
z gradient pulse. Typically, the time integral of the waveform of the G
z gradient over interval 2 required to rephase the spins is approximately equal to
the negative one half of the time integral of the positive G
z gradient waveform in interval 1. During interval 3, a phase-encoding G
y gradient is applied simultaneously with the application of a pulsed G
x gradient. The G
y gradient has a single, peak amplitude in the nth repetition of the sequence comprising
intervals 1-6. However, in each successive application, such as the (n+l)th repetition
of the sequence, a different amplitude of the phase-encoding gradient is selected.
The Gy gradient encodes spatial information in the Y-axis direction by introducing
a twist in the orientation of the transverse magnetization by a multiple of 2π in
the Y-axis direction. Following the application of the first phase-encoding gradient,
the transverse magnetization is twisted into a one-turn helix. Each different amplitude
of the G
y gradient introduces a different degree of twist (phase encoding). The number of G
y gradient amplitudes is chosen to be equal to the number of pixels (typically 128
or 256) the reconstructed image will have in the Y-axis direction. It should be noted
that, in sane embodiments, it may be advantageous to repeat the pulse sequence prior
to advancing the amplitude of the gradient to improve the S/N ratio by averaging the
NMR signals.
[0020] Referring again to FIG. 2, the effect of the G
x gradient in interval 2 is to dephase the nuclear spins by a predetermined amount
such that, when a first nonselective 180° RF pulse is applied in interval 3 a spin-echo
signal will be produced in interval 4. The 180° RF pulse is typically applied at a
time A following the mean application of the selective RF pulse in interval 1. The
180° pulse inverts the direction of nuclear spin dephasing as indicated by arrow 10
in FIG. lb. The nuclear spins then rephase under the influence of the G
x gradient in interval 4 to produce a maximum in the spin-echo signal amplitude at
the same time Δ following the 180° pulse (provided gradients G
x are selected to have equal time integrals in intervals 2 and 4a). Spatial information
is encoded in the X-axis direction by the linear G
x gradient in interval 4 by causing the nuclear spins to resonate at frequencies characteristic
of their locations with respect to the X-axis. The Spin-echo signal is sampled in
interval 4 a number of times which is typically equal to the number of pixels (typically
128 or 256) the reconstructed image will have in the X-axis directon. The image pixel
values are obtained from the sample signals using a two-dimensional Fourier transform
as disclosed, for example, by Kumar et al in J.Mag. Res., Vol. 18, p. 69 (1975).
[0021] As a result of the 180° RF pulse in interval 3, residual longitudinal magnetization
M'
z is inverted by 180° (as indicated by arrow 12, FIG. 1b) and appears as a negative
(-M'
z) component directed in the negative Z-axis direction (FIG. 1c). In the conventional
pulse sequence, -M'
Z is allowed to return to equilibrium (alonf positive Z-axis) by the T
1 relaxation process in interval 6 of FIG. 2 before the pulse sequence can be repeated.
This, however, unnecessarily prolongs the data acquisition process.
[0022] In accordance with the invention, a second nonselective 180° RF pulse is applied
(at a time τ following the mean application of the first 180° pulse) in interval 5
(FIG. 2) to rapidly restore M to its equilibrium position along the positive Z-axis
as indicated by arrow 14 in FIG. ld. In order to maintain a high value of longitudinal
magnetization along the positive Z axis, data collection period 4 should be kept short
(not much longer than required for sampling the spin-echo signal, i.e., 5-10 ms).
In the inventive sequence, period 6 constitutes the bulk of the time between consecutive
repetitions of the pulse sequence. Since most of the longitudinal magnetization is
returned to a positive value of the longitudinal magnetization by the second 180°
pulse, interval 6 is shorter than in a conventional pulse sequence.
[0023] The steady-state magnetization M
z that has built up at the end of interval 6 can be shown to be

in which
Mo is the equilibrium magnetization, and
T is the time between the mean application of the second 180° pulse and the end of
interval 6.
[0024] The RF pulse θ
x in interval 1 of FIG. 2 which rotates magnetization M
z through an angle θ generates transverse magnetization

which can be compared with that of a conventional partial saturation sequence where

[0025] Assuming, for example, T
1 = 600 msec (typical of brain tissue at B
o = 0.5 - 1.5 Tesla) and instrumental timing parameters T = 80 msec, T = 10 msec, T
r = 97.5 msec and θ = 300, Equation (3) predicts M
x = 0.229 versus M
x = 0.129 by the conventional partial saturation sequence. Likewise, if the pulse repetition
time is shortened to T
r = 47.5 msec with T = 20 msec, τ = 10 msec, and θ = 20°, M values of 0.116 and 0.053
are predicted for the pulse sequence according to the invention and conventional partial
saturation method, respectively. The latter is consistent with a more than two-fold
improvement in signal-to-noise. It will be recognized that a two-fold improvement
in signal-to-noise results in a four-fold time saving in the total data collection
(e.g., imaging) time. It is essential, however, that in intervals 3, 4, and 5 the
length of
T be kept short. The lower limit of T is dictated by the data collection time and decay
of the transverse magnetization resulting from the 180° pulse in interval 3.
[0026] The effect of the second 180° pulse is also to again reverse the direction of spin
dephasing, as indicated by arrow 16, FIG. 1d, to produce a second spin-echo signal
(not shown). This signal may be sampled, if desired, to produce a second image or
averaged to improve the signal-to-noise ratio. It should also be noted that in order
to correct for pulse imperfections (i.e., for pulses which are not exactly 180°),
it is advantageous to invert the phase of the second 180° pulse. In this case, the
pulse is applied such that its B
I field is directed in the negative X-axis direction (FIG. Id). The resulting spin
echo will be in phase-opposition to that in interval 4, such that if the two spin-echo
signals are subtracted the effects of pulse imperfection cancel while the desired
signals reinforce. The effects of spurious FID signals due to transverse magnetization
produced when the RF pulse is not exactly 180° can be reduced by applying a large
magnetic field gradient pulse following the RF pulse to rapidly dephase the transverse
magnetization and shorten the spurious FID signal.
[0027] Reference is now made to FIG. 3 which depicts another embodiment of the inventive
NMR pulse sequence which is the three-dimensional version of the pulse sequence described
hereinbefore with reference to FIG. 2. This pulse sequence is substantially identical
to that depicted in FIG. 2, but with the notable exception that the selective RF pulse
applied in interval 1 of FIG. 3 is selected to have a frequency content so as to preferentially
excite nuclear spins in a thicker region of the object undergoing examination. Additionally,
the G
z gradient is provided with multiple phase-encoding programmable amplitudes equal in
number to the number of slices in which the excited region is to be divided. To this
end, the frequency bandwidth of the RF pulse in interval 1 is also determined by the
number of slices desired. It should be noted that it is desirable both in FIGS. 2
and 3, but not necessary, to use a selective excitation pulse. For example, the volume
may be defined by the geometry of the RF transmitter coil.
[0028] The G magnetic-field gradient in interval 2 is comprised of two components. The first
component is a negative rephasing pulse similar to that applied in interval 2 of FIG.
2 which is necessary to rephase the nuclear spins excited in interval 1. The second
gradient component is a phase-encoding pulse which encodes spatial information into
the NMR signal arising from the excited region in the Z-axis direction. The G gradient
is shown in interval 2 as a single pulse because the action of the two components
is linearly independent and, therefore, can be added to form a single pulse which
performs both the rephasing and phase-encoding actions simultaneously.
[0029] In using the pulse sequence of FIG. 3 to acquire data, a single amplitude of the
G phase-encoding gradient is selected and held while the Gy phase-encoding gradient
is advanced through a number of amplitudes equal to the number of pixels the reconstructed
image is to have in the Y-axis direction. Thereafter, the next amplitude of the G
gradient is selected and the Gy gradient is then again sequenced through its range
of amplitudes. This process is repeated for each of the amplitudes of the G gradient.
Image pixel data is obtained by utilizing a three-dimensional Fourier transform.
[0030] The preferred embodiments of the invention have been described hereinabove with reference
to the spin-warp-imaging technique. It will be recognized, however, by those of ordinary
skill in the art that the invention may be advantageously practiced with other pulse
sequences. One example of such a pulse sequence is the two-dimensional multiple-angle-projection-reconstruction
pulse sequence depicted in FIG. 4 which is similar in many respects to that of FIG.
2. As in FIG. 2, a preferably selective excitation RF pulse is applied in interval
1. The pulse is selected, in accordance with the invention, to rotate the longitudinal
magnetization through an angle θ< 90°. As before, a 180° pulse is applied in interval
5 to speed up the return of the inverted magnetization (-M'
z) to equilibrium.
[0031] The primary difference between the pulse sequence of FIG. 4 and that of FIG. 2 is
the manner in which spatial information is encoded into the spin-echo signals. This
difference will be described in an exemplary manner with reference to the spin-echo
signal observed in interval 4. The description is, however, equally applicable to
the second spin-echo signal (not shown), if it is sampled to produce a second image
as to improve the signal-to-noise ratio. It should be initially noted that the Gy
gradient applied in interval 2 is not a phase-encoding gradient but is, rather, a
gradient pulse used in combination with the positive G
x gradient pulse (also in interval 2) to time the occurrence of the spin-echo signal
in interval 4. To encode spatial information into the spin-echo signal, linear Gy
and G
x gradients are applied during interval 4. The G
x and Gy gradients are directed, respectively, in the X- and Y-axis directions within
the imaging slice. The magnitudes of the G
x and Gy gradients in interval 4 determine the projection angle α. The magnitude of
the G gradient is made proportional to the sine of the projection angle, while the
magnitude of the G gradient is made proportional to the cosine of the projection angle.
The G
x and G
y gradients add vectorially to produce a resultant gradient in the image plane at a
direction a . Nuclear spins situated along the direction of the resultant gradient
experience different magnetic fields and, therefore, resonate at different frequencies
dependent on their position along the gradient which may be ascertained in a well-known
manner by Fourier transformation of the spin-echo signal. Fourier transformation of
the signal yields the magnitude of the signal at each frequency and, therefore, at
each location with respect to the direction of the gradient. The nuclei situated along
each line perpendicular to the direction of the gradient have the same resonant frequency.
In successive applications (such as the [n+1]th repetition of the sequence), as is
necessary in order to obtain sufficient information to image an entire slice, multiple
projections are obtained by changing the projection angle by an amount Aa , typically
of the order of 1°, to collect spatial information from 180 projections in at least
a 180° arc.
[0032] It will be recognized that the pulse sequence depicted in FIG. 4 is the two-dimensional
embodiment of the invention utilizing the multiple-angle-projection-reconstruction
technique. This pulse sequence can be modified to collect data using a three-dimensional
pulse sequence. In this case, a G gradient would be applied in interval 4 (FIG. 4)
to obtain projections outside of the X-Y plane.
[0033] While this invention has been described with reference to particular embodiments
and examples, other modifications and variations will occur to those skilled in the
art in view of the above teachings. Accordingly, it should be understood that within
the scope of the appended claims the invention may be practiced otherwise than is
specifically described.
1. A method for shortening total NMR data acquisition time, comprising the steps of:
(a) positioning an NMR sample in a homogeneous magnetic field to create in at least
a portion thereof a longitudinal magnetization in the direction of said homogeneous
field, said longitudinal magnetization having a magnitude M ;
(b) irradiating said sample with an RF pulse to convert a fraction, but not all, of
said longitudinal magnetization to transverse magnetization;
(c) reversing the direction of dephasing of said transverse magnetization to produce
a spin-echo signal;
(d) sampling said spin-echo signal to derive, upon analysis, NMR data from said sample;
and
(e) applying a 180° RF pulse to said sample to rapidly return to equilibrium along
said homogeneous field any remaining inverted longitudinal magnetization prior to
repeating said steps (b)-(d).
2. The method of Claim 1 wherein said step of irradiating comprises applying a selective
RF pulse to rotate said longitudinal magnetization away from its alignment with said
homogeneous magnetic field through an angle 6 which is selected to be less than 90°,
the magnitude of said transverse magnetization being defined by MZsin θ.
3. The method of Claim 1 wherein said step of reversing comprises irradiating said
sample with a 180° RF pulse.
4. The method of Claim 1 wherein said step of sampling comprises sampling said spin-echo
signal in the presence of at least one magnetic field gradient for encoding spatial
information into said spin-echo signal in the direction of said gradient.
5. The method of Claim 4 wherein said magnetic-field gradient for encoding information
is selected to have one of a plurality of directions within said portion of said sample
for each repetition of said steps (b)-(e).
6. The method of Claim 5 wherein said gradient for encoding information comprises
a resultant magnetic-field gradient of the vectorial addition of at least two magnetic-field
gradients, which gradients are perpendicular to one another within said sample portion.
7. The method of Claim 5 wherein said gradient for encoding information comprises
a resultant magnetic-field gradient of the vectorial addition of a plurality of magnetic-field
gradients at least one of which is not coplanar with the remaining ones of said plurality
of magnetic-field gradients.
8. The method of Claim 4 further comprising the step of applying, prior to said step
of reversing, at least one variable amplitude magnetic-field gradient having one of
a plurality of programmable amplitudes for each repetition of steps (b)-(e) to phase-encode
spatial information into said spin-echo signal.
9. The method of Claim 8 wherein said spin-echo signal is sampled in the presence
of a substantially linear magnetic-field gradient, which gradient is perpendicular
to the direction of said variable amplitude gradient within said sample portion.
10. The method of Claim 9 further comprising the step of applying an additional variable
amplitude magnetic field gradient selected to be orthogonal to said one variable amplitude
magnetic field gradient, said additional gradient having a plurality of programmable
amplitudes; and
holding the amplitude of one of said variable amplitude gradients constant, while
sequencing through all of the programmable amplitudes of the other variable amplitude
gradient, prior to advancing to the next amplitude of said one gradient.
11. A method for shortening total IaR data acquisition time, comprising the steps
of:
(a) positioning an NMR sample in a homogeneous magnetic field to create in at least
a portion thereof a longitudinal magnetization in the direction of said homogeneous
field, said longitudinal magnetization having a magnitude Mz;
(b) irradiating said sample with an RF pulse to convert said longitudinal magnetization
to transverse magnetization;
(c) reversing the direction of dephasing of said transverse magnetization to produce
a spin-echo signal;
(d) sampling said spin-echo signal to derive, upon analysis, NMR, data from said sample;
and
(e) applying a 1800 RF pulse to said sample to rapidly return to equilibrium along said homogeneous field
any remaining inverted longitudinal magnetization prior to repeating said steps (b)-(d).
12. The method of Claim 11 wherein said step of irradiating comprises applying a selective
RF pulse to rotate said longitudinal magnetization away from its alignment with said
homogeneous magnetic field through an angle 6 which is selected to be less than 90°,
the magnitude of said transverse magnetization being defined by MZsin θ .
13. The method of Claim 11 wherein said step of reversing comprises irradiating said
sample with a 180° RF pulse.
14. The method of Claim 11 wherein said step of sampling comprises sampling said spin-echo
signal in the presence of at least one magnetic field gradient for encoding spatial
information into said spin-echo signal in the direction of said gradient.
15. The method of Claim 14 wherein said magnetic-field gradient for encoding information
is selected to have one of a plurality of directions within said portion of said sample
for each repetition of said steps (b)-(e).
16. The method of Claim 15 wherein said gradient for encoding information comprises
a resultant magnetic-field gradient of the vectorial addition of at least two magnetic-field
gradients, which gradients are perpendicular to one another within said sample portion.
17. The method of Claim 15 wherein said gradient for encoding information comprises
a resultant magnetic-field gradient of the vectorial addition of a plurality of magnetic-field
gradients at least one of which is not coplanar with the remaining ones of said plurality
of magnetic-field gradients.
18. The method of Claim 14 further comprising the step of applying, prior to said
step of reversing, at least one variable amplitude magnetic-field gradient having
one of a plurality of programmable amplitudes for each repetition of steps (b)-(e)
to phase-encode spatial information into said spin-echo signal.
19. The method of Claim 18 wherein said spin-echo signal is sampled in the presence
of a substantially linear magnetic-field gradient, which gradient is perpendicular
to the direction of said variable amplitude gradient within said sample portion.
20. The method of Claim 19 further comprising the step of applying an additional variable
amplitude magnetic field gradient selected to be orthogonal to said one variable amplitude
magnetic field gradient, said additional gradient having a plurality of programmable
amplitudes; and
holding the amplitude of one of said variable amplitude gradients constant, while
sequencing through all of the programmable amplitudes of the other variable amplitude
gradient, prior to advancing to the next amplitude of said one gradient.